I had a small bird dropping on my roof the other day, nothing serious and no damage was done since I got rid of it quickly.

I used clean cold tap water which I carelessly left on the car - in the sun. This left some serious water spots that I just can get rid of. Its like the edges of the water spots have etched a small ditch into the clear coat.

What can I do to get rid of these spots? - is abrasive polish the only solution (to level the paint)?